document.write( "Question 120492: The time in seconds it takes for an object to fall from rest is given by t = 1/4squared s, in which s is the distance fallen. What is the time it takes an object to fakk from a building 1400 feet high? I have tried 1/4 the distance fallen squared, and I just don't know how to figure this one out in seconds? \n" ); document.write( "
Algebra.Com's Answer #88322 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
Your formula is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "If you drop an object from a fixed height, s, the height, h, of the object after t seconds is given by \"h=-16t%5E2%2Bs\". You want the time it takes for the object starting at 1400 feet to hit the ground, or when h = 0, so:\r
\n" ); document.write( "\n" ); document.write( "\"0=-16t%5E2%2B1400\"\r
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\n" ); document.write( "\n" ); document.write( "\"16t%5E2=1400\"\r
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\n" ); document.write( "\n" ); document.write( "\"t%5E2=1400%2F16\"\r
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\n" ); document.write( "\n" ); document.write( "\"t=sqrt%281400%2F16%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"t=sqrt%281400%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"t=%285%2Asqrt%2814%29%29%2F2\", roughly 9 and 1/3 seconds.\r
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\n" ); document.write( "\n" ); document.write( "In general, if you drop an object from height s in feet and you want to know the time it takes to reach height h in feet, it takes:\r
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\n" ); document.write( "\n" ); document.write( "\"t=sqrt%28s-h%29%2F4\" seconds.\r
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\n" ); document.write( "\n" ); document.write( "Also, if the heights are given in meters, then the constant factor is different:\r
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\n" ); document.write( "\n" ); document.write( "\"h=4.9t%5E2%2Bs\", so\r
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\n" ); document.write( "\n" ); document.write( "\"t=sqrt%28%28s-h%29%2F4.9%29\"\r
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\n" ); document.write( "\n" ); document.write( "Hope that helps
\n" ); document.write( "John
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